Question

Need help doing this questions, all help is appreciated thanks.

Answer 1

The answer to your question is the third option

Explanation:

To know if two lines are parallel we must get their slopes if the slopes are equal, the lines are parallel.

Data

A (2,2)

B (3,6)

C(0,5)

D(1,9)

Formula

slope =
`(y2 - y1)/(x2 - x1)`

Process

1.- Calculate the slope of line 1

slope 1 =
`(6 - 2)/(3 - 2)`

slope 1 =
`(4)/(1)`

slope 1 = 4

2.- Calculate slope 2

slope 2 =
`(9 - 5)/(1 - 0)`

slope 2 =
`(4)/(1)`

slope 2 = 4

3.- Compare the slope

slope 1 = 4 and slope 2 = 4, both slope are equals, then the lines are parallel.